-4(2x-5)+3x=7x-10

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Solution for -4(2x-5)+3x=7x-10 equation:


Simplifying
-4(2x + -5) + 3x = 7x + -10

Reorder the terms:
-4(-5 + 2x) + 3x = 7x + -10
(-5 * -4 + 2x * -4) + 3x = 7x + -10
(20 + -8x) + 3x = 7x + -10

Combine like terms: -8x + 3x = -5x
20 + -5x = 7x + -10

Reorder the terms:
20 + -5x = -10 + 7x

Solving
20 + -5x = -10 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
20 + -5x + -7x = -10 + 7x + -7x

Combine like terms: -5x + -7x = -12x
20 + -12x = -10 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -12x = -10 + 0
20 + -12x = -10

Add '-20' to each side of the equation.
20 + -20 + -12x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = -10 + -20
-12x = -10 + -20

Combine like terms: -10 + -20 = -30
-12x = -30

Divide each side by '-12'.
x = 2.5

Simplifying
x = 2.5

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